Marcos Lopez-Garcia, Alberto Mercado, Luz de Teresa
Abstract:
This article presents a control problem for a cascade system of two linear
N-dimensional Schrodinger equations. We address the problem of null
controllability by means of a control supported in a region not satisfying
the classical geometrical control condition. The proof is based on the
application of a Carleman estimate with degenerate weights to each one
of the equations and a careful analysis of the system in order to prove
null controllability with only one control force.
Submitted August 7, 2015. Published March 17, 2016.
Math Subject Classifications: 93B05, 93C20.
Key Words: Null controllability; coupled equations; Schrodinger equation;
non geometrical condition; Carleman inequality.
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| Marcos López-García Instituto de Matemáticas-Unidad Cuernavaca Universidad Nacional Autónoma de México Apdo. Postal 273-3, Cuernavaca Mor. CP 62251, México email: flopez@matem.unam.mx | |
| Alberto Mercado Departamento de Matemática Universidad Técnica Federico Santa María Casilla 110-V, Valparaíso, Chile email: alberto.mercado@usm.cl | |
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Luz de Teresa Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, CU, 04510 México email: ldeteresa@im.unam.mx |
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